Lommel function
Encyclopedia
The Lommel differential equation is an inhomogeneous form of the Bessel differential equation:
Two solutions are given by the Lommel functions sμ,ν(z) and Sμ,ν(z), introduced by ,
Two solutions are given by the Lommel functions sμ,ν(z) and Sμ,ν(z), introduced by ,
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where Jν(z) is a Bessel functionBessel functionIn mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y of Bessel's differential equation:...
of the first kind, and Yν(z) a Bessel function of the second kind.
External links
- Weisstein, Eric W. "Lommel Differential Equation." From MathWorld—A Wolfram Web Resource.
- Weisstein, Eric W. "Lommel Function." From MathWorld—A Wolfram Web Resource.